Derivation of the Planck mass from gravitational polarization of the quantum vacuum

摘要

The Planck units were originally derived from a dimensional analysis without a deeper understanding of their meaning. It was later believed that these units may provide a link between quantum theory and gravity in a yet-to-be-developed theory of quantum gravity. I propose a model where the Planck units appear naturally by assuming that the quantum vacuum can be gravitationally polarized based on recent work on the gravitational properties of antiparticles. In order to match the observed values, we arrive at Planck particle-antiparticle pairs (microblack holes) with Planck masses that define the gravitational constant in vacuum through gravitational polarization. This gives the Planck mass a new important interpretation as indeed linking quantum fluctuations to gravity by defining the gravitational constant. In addition, a better understanding of why the Planck length is usually associated as the smallest length in nature can be illustrated from another perspective.